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Let p(t) be the natural cubic spline which interpolates the data with coefficient matrix such that each cubic in the spline is of the form Determine the value p' (1.5). (0,5), (1,9), (2,-2), (3,-29), (4, -65), (5, -110) -3 0 7 5 0 a3 -1 -9 b3 -3 2 -6 -2 C3 -32 -41 9 -2 -29 -65 px(t) = ax(t – tk_1)3 + bx(t – tk_1)? + ck(t – tk-1)+dk , t e [tk1,4k]

Let p(t) be the natural cubic spline which interpolates the data with coefficient matrix such that each cubic in the spline is of the form Determine the value p' (1.5). (0,5), (1,9), (2,-2), (3,-29), (4, -65), (5, -110) -3 0 7 5 0 a3 -1 -9 b3 -3 2 -6 -2 C3 -32 -41 9 -2 -29 -65 px(t) = ax(t – tk_1)3 + bx(t – tk_1)? + ck(t – tk-1)+dk , t e [tk1,4k]

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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3 Let p(t) be the natural cubic spline which interpolates the data with coefficient matrix such that each cubic in the spline is of the form Determine the value p' (1.5). Type your answer... (0,5), (1,9), (2,-2), (3,-29), (4, -65), (5, -110) -3 0 7 5 0 -9 -2 9 a3 b3 -1 -3 2 -6 C3 -32 -41 -2 -29 -65 Px(t) = ax(t — tk_1)3 + bx(t – tk_i)? + cx(t – tk_1)+dk , t e tk_1,tk]
Transcribed Image Text:3 Let p(t) be the natural cubic spline which interpolates the data with coefficient matrix such that each cubic in the spline is of the form Determine the value p' (1.5). Type your answer... (0,5), (1,9), (2,-2), (3,-29), (4, -65), (5, -110) -3 0 7 5 0 -9 -2 9 a3 b3 -1 -3 2 -6 C3 -32 -41 -2 -29 -65 Px(t) = ax(t — tk_1)3 + bx(t – tk_i)? + cx(t – tk_1)+dk , t e tk_1,tk]
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